Quantum imaginary time evolution and the unit-disk maximum independent set problem

Autores
Penas, Victor Alejandro; Losada, Marcelo Adrián; Lamberti, Pedro Walter
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work we apply a procedure based on the quantum imaginary time evolution method to solve the unit-disk maximum independent set problem. Numerical simulations are performed for instances of six-, eight-, and ten-qubit graphs. We find that the failure probability of the procedure is relatively small and rapidly decreases with the number of shots. In addition, a theoretical upper bound for the failure probability of the procedure is obtained.
Fil: Penas, Victor Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Fil: Losada, Marcelo Adrián. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Fil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Materia
Optimization problems
Quantum algorithms & computation
Quantum computation
Quantum simulation
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/271965
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/271965
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Quantum imaginary time evolution and the unit-disk maximum independent set problemPenas, Victor AlejandroLosada, Marcelo AdriánLamberti, Pedro WalterOptimization problemsQuantum algorithms & computationQuantum computationQuantum simulationhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In this work we apply a procedure based on the quantum imaginary time evolution method to solve the unit-disk maximum independent set problem. Numerical simulations are performed for instances of six-, eight-, and ten-qubit graphs. We find that the failure probability of the procedure is relatively small and rapidly decreases with the number of shots. In addition, a theoretical upper bound for the failure probability of the procedure is obtained.Fil: Penas, Victor Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; ArgentinaFil: Losada, Marcelo Adrián. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; ArgentinaFil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; ArgentinaAmerican Physical Society2025-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/271965Penas, Victor Alejandro; Losada, Marcelo Adrián; Lamberti, Pedro Walter; Quantum imaginary time evolution and the unit-disk maximum independent set problem; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 111; 4; 4-2025; 1-212469-99262469-9934CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevA.111.042403info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.111.042403info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2410.14955info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:41:38Zoai:ri.conicet.gov.ar:11336/271965instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:41:39.218CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Quantum imaginary time evolution and the unit-disk maximum independent set problem
title Quantum imaginary time evolution and the unit-disk maximum independent set problem
spellingShingle Quantum imaginary time evolution and the unit-disk maximum independent set problem
Penas, Victor Alejandro
Optimization problems
Quantum algorithms & computation
Quantum computation
Quantum simulation
title_short Quantum imaginary time evolution and the unit-disk maximum independent set problem
title_full Quantum imaginary time evolution and the unit-disk maximum independent set problem
title_fullStr Quantum imaginary time evolution and the unit-disk maximum independent set problem
title_full_unstemmed Quantum imaginary time evolution and the unit-disk maximum independent set problem
title_sort Quantum imaginary time evolution and the unit-disk maximum independent set problem
dc.creator.none.fl_str_mv Penas, Victor Alejandro
Losada, Marcelo Adrián
Lamberti, Pedro Walter
author Penas, Victor Alejandro
author_facet Penas, Victor Alejandro
Losada, Marcelo Adrián
Lamberti, Pedro Walter
author_role author
author2 Losada, Marcelo Adrián
Lamberti, Pedro Walter
author2_role author
author
dc.subject.none.fl_str_mv Optimization problems
Quantum algorithms & computation
Quantum computation
Quantum simulation
topic Optimization problems
Quantum algorithms & computation
Quantum computation
Quantum simulation
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this work we apply a procedure based on the quantum imaginary time evolution method to solve the unit-disk maximum independent set problem. Numerical simulations are performed for instances of six-, eight-, and ten-qubit graphs. We find that the failure probability of the procedure is relatively small and rapidly decreases with the number of shots. In addition, a theoretical upper bound for the failure probability of the procedure is obtained.
Fil: Penas, Victor Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Fil: Losada, Marcelo Adrián. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Fil: Lamberti, Pedro Walter. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
description In this work we apply a procedure based on the quantum imaginary time evolution method to solve the unit-disk maximum independent set problem. Numerical simulations are performed for instances of six-, eight-, and ten-qubit graphs. We find that the failure probability of the procedure is relatively small and rapidly decreases with the number of shots. In addition, a theoretical upper bound for the failure probability of the procedure is obtained.
publishDate 2025
dc.date.none.fl_str_mv 2025-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/271965
Penas, Victor Alejandro; Losada, Marcelo Adrián; Lamberti, Pedro Walter; Quantum imaginary time evolution and the unit-disk maximum independent set problem; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 111; 4; 4-2025; 1-21
2469-9926
2469-9934
CONICET Digital
CONICET
url http://hdl.handle.net/11336/271965
identifier_str_mv Penas, Victor Alejandro; Losada, Marcelo Adrián; Lamberti, Pedro Walter; Quantum imaginary time evolution and the unit-disk maximum independent set problem; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 111; 4; 4-2025; 1-21
2469-9926
2469-9934
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevA.111.042403
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.111.042403
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2410.14955
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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